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The calculation of frictional
pressure loss for two phase gas-liquid flow is complex. The coexistent
flow of two phases complicates the theoretical and empirical
approaches which are available; this means that a complete analytical
solution is not possible. After 60 years of extensive research
it is rare to find two correlations with exact predictions. In
an effort to overcome these shortcomings the Which equation? Until recently, the "literature consensus" indicated that a mechanistic approach could be used for all gas liquid ratios and all pipe inclinations. Great in theory, but in practice, you need to make simplifying assumptions to solve/close the equations. FluidFlow3 implements a simple mechanistic model according to Beggs-Brill. There are more complex mechanistic models in the literature (Shoham or Aziz - in a future release), but these are not trivial to implement successfully. Recently, the "literature consensus" appears to agree that mechanistic modelling has gone as far as it can go and researchers are now favouring a drift flux approach. FluidFlow3 implements also this type of relationship, but this model is best suited for vertical and inclined pipes. As a general purpose model for single component two phase flow the Muller Steinberg Heck relationship is considered to be the most accurate, but the method looses accuracy at high vapour qualities. Perhaps the most comprehensive literature summary was carried out by Whalley. The recommendations of this study use gas/liquid ratios and gas/liquid viscosities to determine the best correlation to use. This is the default calculation method used by FluidFlow3. If you are dealing with steam/condensate systems the recommendation is to use either use Muller Steinberg Heck or Whalley. Examples
References used in the developoment of the FluidFlow3: 2-Phase module: 1 Mechanistic Modeling of Gas-Liquid
Two-Phase Flow in Pipes - O. Shoham ISBN 978 1 55563 107 9
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